Решите систему уравнений

$\left \{ {{(x+y)(2x-3y)+(x+y)=6} \atop {(x-y)(2x-3y)+(x-y)=2}} \right.\\\ \left \{ {{(x+y)(2x-3y+1)=6} \atop {(x-y)(2x-3y+1)=2}} \right. \\\ \left \{ {{\frac{x+y}{x-y}=3} \atop {2x^2-5xy+3y^2+x-y=2}} \right. \\\ \left \{ {{x+y=3(x-y)} \atop {2x^2-5xy+3y^2+x-y=2}} \right.\\\ \left \{ {{x=2y} \atop {8y^2-10y^2+3y^2+2y-y=2}} \right.\\\ \left \{ {{x=2y} \atop {y^2+y-2=0}} \right.$